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Consider the Function f(x,y)=e1x22y2f ( x , y ) = e ^ { 1 - x ^ { 2 } - 2 y ^ { 2 } }

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Consider the function f(x,y)=e1x22y2f ( x , y ) = e ^ { 1 - x ^ { 2 } - 2 y ^ { 2 } } Determine all local maxima, minima and saddle points of f.
Does f have a global maximum?


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